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Beliebt Rechnen >

(d^2)/(dy^2)(cos(xy^2))

Lösung

\frac{d ^{2}}{d y ^{2}} (cos (x y^{2}))

Lösung

- 2 x (2 x y^{2} cos (x y^{2}) + sin (x y^{2}))

Schritte zur Lösung

\frac{d ^{2}}{d y ^{2}} (cos (x y^{2}))

\frac{d}{d y} (cos (x y^{2})) = - sin (x y^{2}) \cdot 2 x y

= \frac{d}{d y} (- sin (x y^{2}) \cdot 2 x y)

\frac{d}{d y} (- sin (x y^{2}) \cdot 2 x y) = - 2 x (2 x y^{2} cos (x y^{2}) + sin (x y^{2}))

= - 2 x (2 x y^{2} cos (x y^{2}) + sin (x y^{2}))

Beliebte Beispiele

integral of 5xln(3x)

derivative f(x)=x(2-x)(x+3)

y^'=4y+y^4,y(0)=1

derivative of-15sin(5x)

limit as x approaches-2+of (x-1)/(3x+6)